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Finding the Third Proportional to 36,829.50 and 57,613.50

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Solution

The third proportional to 36,829.50 and 57,613.50 is: 90,126.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,829.50 : 57,613.50 = 57,613.50 : x
  2. Step 2: Convert to fraction form
    36,829.50/57,613.50 = 57,613.50/x
  3. Step 3: Cross multiply
    36,829.50x = 57,613.50 × 57,613.50
  4. Step 4: Simplify right side
    36,829.50x = 3,319,315,382.25
  5. Step 5: Solve for x
    x = 3,319,315,382.25/36,829.50
  6. Step 6: Final answer
    x = 90,126.54

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.